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ParserFunctions allow for the conditional display of table rows, columns or cells (and really, just about anything else). But Parser functions have some limits. But Parser functions have some limits. Basic use
8.7 Conditional table row. 9 Cell operations. ... + The table's caption! Column 1 !! ... Python module for reading wiki table markup;
Condition numbers can also be defined for nonlinear functions, and can be computed using calculus.The condition number varies with the point; in some cases one can use the maximum (or supremum) condition number over the domain of the function or domain of the question as an overall condition number, while in other cases the condition number at a particular point is of more interest.
Rather, the Jordan canonical form of () contains one Jordan block for each distinct root; if the multiplicity of the root is m, then the block is an m × m matrix with on the diagonal and 1 in the entries just above the diagonal. in this case, V becomes a confluent Vandermonde matrix.
Although Goodman and Kruskal's lambda is a simple way to assess the association between variables, it yields a value of 0 (no association) whenever two variables are in accord—that is, when the modal category is the same for all values of the independent variable, even if the modal frequencies or percentages vary. As an example, consider the ...
In this case particular lambda terms (which define functions) are considered as values. "Running" (beta reducing) the fixed-point combinator on the encoding gives a lambda term for the result which may then be interpreted as fixed-point value. Alternately, a function may be considered as a lambda term defined purely in lambda calculus.
For very high condition numbers, even very small errors due to rounding can be magnified to such an extent that the result is meaningless. It would be good to reduce the condition number of A . This can be done by preconditioning : A matrix P such that P ≈ A −1 is constructed, and then the equation PAx = Pb is solved for x .
[1] [2] That is, the matrix is idempotent if and only if =. For this product A 2 {\displaystyle A^{2}} to be defined , A {\displaystyle A} must necessarily be a square matrix . Viewed this way, idempotent matrices are idempotent elements of matrix rings .